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Finding the Fourth Proportional to 167,734, 231,472.92 and 92,282.50

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Solution

The fourth proportional to 167,734, 231,472.92 and 92,282.50 is: 127,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,734 : 231,472.92 = 92,282.50 : x
  2. Step 2: Convert to fraction form
    167,734/231,472.92 = 92,282.50/x
  3. Step 3: Cross multiply
    167,734x = 231,472.92 × 92,282.50
  4. Step 4: Simplify right side
    167,734x = 21,360,899,739.90
  5. Step 5: Solve for x
    x = 21,360,899,739.90/167,734
  6. Step 6: Final answer
    x = 127,349.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.